Given numbers are 461,493,136,610

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 461,493,136,610 is 554546120.

Find LCM of 461,493,136,610 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 17 x 461 x 29 x 4 x 305 = 554546120

Therefore, the lowest common multiple of 461,493,136,610 is 554546120.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

461 x 493 x 136 x 610 = 18854568080

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

461 : 1, 461

493 : 1, 17, 29, 493

136 : 1, 2, 4, 8, 17, 34, 68, 136

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,493,136,610, is 1.

Now, the common factors can be found like this.

461:461

493:17x 29

136:2x 2x 2x 17

610:2x 5x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 18854568080/(1x34)

LCM = 18854568080/34

LCM = 554546120

Thus, we can understand that the LCM of 461,493,136,610 is 554546120.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 245, 868, 158, 714
• LCM of 294, 667, 604, 639
• LCM of 884, 698, 744, 571
• LCM of 213, 697, 336, 407
• LCM of 165, 110, 848, 349

1. What is the LCM of 461, 493, 136, 610?

Answer: LCM of 461, 493, 136, 610 is 554546120.

2. How to calculate the LCM of 461, 493, 136, 610?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 461, 493, 136, 610.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.